Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2387 sq.m. of land can be tilled by 19 workers in 7 days , how many workers are neede to till 4278 sq.m. of land in 12 days. workers Answer:_______________ |
| 2) If 2340 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 4873 sq.m. of land in 14 days. workers Answer:_______________ |
| 3) If 2951 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 5888 sq.m. of land in 14 days. workers Answer:_______________ |
| 4) If 2940 sq.m. of land can be tilled by 17 workers in 7 days , how many workers are neede to till 5426 sq.m. of land in 13 days. workers Answer:_______________ |
| 5) If 2233 sq.m. of land can be tilled by 17 workers in 8 days , how many workers are neede to till 5108 sq.m. of land in 15 days. workers Answer:_______________ |
| 6) If 2705 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 5379 sq.m. of land in 13 days. workers Answer:_______________ |
| 7) If 2184 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 4057 sq.m. of land in 14 days. workers Answer:_______________ |
| 8) If 2717 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 4580 sq.m. of land in 14 days. workers Answer:_______________ |
| 9) If 2930 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 5265 sq.m. of land in 12 days. workers Answer:_______________ |
| 10) If 2933 sq.m. of land can be tilled by 19 workers in 5 days , how many workers are neede to till 5728 sq.m. of land in 12 days. workers Answer:_______________ |
| 1) If 2387 sq.m. of land can be tilled by 19 workers in 7 days , how many workers are neede to till 4278 sq.m. of land in 12 days. Answer: 20 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2387 to 4278.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.79220779221 x 0.583333333333 x 19 = 20 workers |
| 2) If 2340 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 4873 sq.m. of land in 14 days. Answer: 21 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2340 to 4873.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.08247863248 x 0.571428571429 x 18 = 21 workers |
| 3) If 2951 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 5888 sq.m. of land in 14 days. Answer: 24 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2951 to 5888.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.99525584548 x 0.642857142857 x 19 = 24 workers |
| 4) If 2940 sq.m. of land can be tilled by 17 workers in 7 days , how many workers are neede to till 5426 sq.m. of land in 13 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2940 to 5426.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 1.84557823129 x 0.538461538462 x 17 = 17 workers |
| 5) If 2233 sq.m. of land can be tilled by 17 workers in 8 days , how many workers are neede to till 5108 sq.m. of land in 15 days. Answer: 21 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2233 to 5108.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.28750559785 x 0.533333333333 x 17 = 21 workers |
| 6) If 2705 sq.m. of land can be tilled by 19 workers in 9 days , how many workers are neede to till 5379 sq.m. of land in 13 days. Answer: 26 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2705 to 5379.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.98853974122 x 0.692307692308 x 19 = 26 workers |
| 7) If 2184 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 4057 sq.m. of land in 14 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2184 to 4057.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 1.8576007326 x 0.571428571429 x 16 = 17 workers |
| 8) If 2717 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 4580 sq.m. of land in 14 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2717 to 4580.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.68568273831 x 0.571428571429 x 18 = 17 workers |
| 9) If 2930 sq.m. of land can be tilled by 20 workers in 10 days , how many workers are neede to till 5265 sq.m. of land in 12 days. Answer: 30 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2930 to 5265.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.79692832765 x 0.833333333333 x 20 = 30 workers |
| 10) If 2933 sq.m. of land can be tilled by 19 workers in 5 days , how many workers are neede to till 5728 sq.m. of land in 12 days. Answer: 15 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2933 to 5728.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.95294919877 x 0.416666666667 x 19 = 15 workers |